Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9133 and 9137 the smallest integer that is 83448221 that is divisible by both numbers.
Least Common Multiple (LCM) of 9133 and 9137 is 83448221.
LCM(9133,9137) = 83448221
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 9133 and 9137. First we will calculate the prime factors of 9133 and 9137.
Prime Factorization of 9133
9133 | 9133 |
1 |
Prime factors of 9133 are 9133. Prime factorization of 9133 in exponential form is:
9133 = 91331
Prime Factorization of 9137
9137 | 9137 |
1 |
Prime factors of 9137 are 9137. Prime factorization of 9137 in exponential form is:
9137 = 91371
Now multiplying the highest exponent prime factors to calculate the LCM of 9133 and 9137.
LCM(9133,9137) = 91331×91371
LCM(9133,9137) = 83448221
Factors of 9133
List of positive integer factors of 9133 that divides 9133 without a remainder.
1, 9133
Factors of 9137
List of positive integer factors of 9137 that divides 9137 without a remainder.
1, 9137
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9133 and 9137, than apply into the LCM equation.
GCF(9133,9137) = 1
LCM(9133,9137) = ( 9133 × 9137) / 1
LCM(9133,9137) = 83448221 / 1
LCM(9133,9137) = 83448221
(i) The LCM of 9137 and 9133 is associative
LCM of 9133 and 9137 = LCM of 9137 and 9133
1. What is the LCM of 9133 and 9137?
Answer: LCM of 9133 and 9137 is 83448221.
2. What are the Factors of 9133?
Answer: Factors of 9133 are 1, 9133. There are 2 integers that are factors of 9133. The greatest factor of 9133 is 9133.
3. What are the Factors of 9137?
Answer: Factors of 9137 are 1, 9137. There are 2 integers that are factors of 9137. The greatest factor of 9137 is 9137.
4. How to Find the LCM of 9133 and 9137?
Answer:
Least Common Multiple of 9133 and 9137 = 83448221
Step 1: Find the prime factorization of 9133
9133 = 9133
Step 2: Find the prime factorization of 9137
9137 = 9137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83448221 = 9133 x 9137
Step 4: Therefore, the least common multiple of 9133 and 9137 is 83448221.